Answer:
14-3x=25
Step-by-step explanation:
-3x=25+14
-3x=39
-3 -3
x = -13
Find two vectors that are orthogonal to u = -2i +5j -3k and w = 3i +2j + k
Show work, please
After solving the equation of vector, the value obtained is equal to one, which shows that vectors are orthogonal.
What are vector?A vector is a quantity with both magnitude and bin physics. It is often depicted by an arrow with the same direction as the amount and a length proportionate to the size of the quantity. A vector has magnitude and the direction, but no position. As soon as a vector's length remains unchanged, it is consequently untouched by movement perpendicular to itself.
In contrast to vectors, scalars are normal variables having a magnitude but no direction. Displacement, velocity, and acceleration are all vector quantities, unlike speed, time, or weight, which are scalar variables.
uw = -6 + 10- 3
uw = 1.
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Raven is taking a math test.
The test lasts for 1 hour and 35 minutes.
If they finish the test at 1:20, what time did they start the test?
If they took 1 hour and 35 minutes to complete the test and finished at 1:20 they started at 11:45.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, The total time of the math test Raven took was 1 hour and 35 minutes.
Now he finishes the test at 1:20.
So, One hour before the time was 12:20.
20 minutes before that was exactly 12:00 and 15 minutes before that was
11:45 so a total of 1 hour and 35 minutes.
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Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 122.
A rectangle has a width of x and a length of x plus 4.
The inequality to find the value of x for the rectangle is 2(2x+4) < 122 and the value of x should be less than 28.5.
According to the question,
We have the following information:
The perimeter of the rectangle is less than 122.
A rectangle has a width of x and a length of x plus 4.
Now, the expressions for the width and length of the rectangle are given below:
Width = x units
Length = (x+4) units
We know that the following formula is used to find the perimeter of rectangle:
2(length+width) < 122
2(x+4+x) < 122
2(2x+4) < 122
Dividing by 2 on both sides:
2x+4 < 122/2
2x+4 < 61
Subtracting 4 from both sides:
2x < 61-4
2x < 57
Dividing by 2 on both sides:
x < 57/2
x < 28.6
Hence, the inequality to find the value of x for the rectangle is 2(2x+4) < 122 and the value of x should be less than 28.5.
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Write an equation of the line that is PARALLEL to 12x - 4y = 4 and through the point (-9,-2).
Answer:
y=3x+25
Step-by-step explanation:
we need start by making slope intercept form
lets move the 12x after moving it we get
-4y=-12x+4 we need to remove the - 4 from the y so we need to divide the whole equation by - 4
we get y=3x-1
now we can create an equation to get the parallel line
y+2=3(x+9) now distribute
y+2=3x+27 and subtract the two
y=3x+25
Represent the following expressions as a power of the number a where a ≠ 0: (a^3)^-2. PLEASE ANSWER I WILL GIVE BRAINLYEST
Answer:
a^-6 or 1/a^6
Step-by-step explanation:
(a³)-²
=a^-6
=1/a^6
Which expression has the same value as 3 ÷ 5/9? A. 3 × 5/9 B. 1/3 ÷ 5/9 C. 3 ÷ 9/5 D. 3 × 9/5
Answer:
D: 3x9/5
Step-by-step explanation:
the formula for dividing fractions is skip flip multiply where we keep the first term the same and then flip the second to multiply
Hopes this helps please mark brainliest
Can someone please help me , thank you :)!
Answer:
a )
[tex]6 ( ? ) = 27[/tex]
b )
? = The amount of rice in each container.
So, 1 container = ( ? ) ounce.
6 containers have = 6 x ( ? ) ounces.
We know that 6 containers have 27 ounces so...
[tex]6 ( ? ) = 27[/tex]
[tex]? = \frac{27}{6}[/tex]
[tex]? = 4.5[/tex]
Final Answer: 4.5 ounces in each container
Hope this helps! :)
or
The equation of line k is y=
–
10x–8. Perpendicular to line k is line , which passes through the point (2,2). What is the equation of line ?
Considering the definition of perpendicular line, the equation of perpendicular line is y= -1/10x + 11/5.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Perpendicular linePerpendicular lines are lines that intersect at 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.
Equation of perpendicular line in this caseThe line is y= 10x -8.
The line has a slope of 10. If you multiply the slopes of two perpendicular lines, you get –1:
10× slope perpendicular line= -1
slope perpendicular line= (-1)÷ 10
slope perpendicular line= -1/10
The perpendicular line has a form of: y= -1/10x + b
The line passes through the point (2, 2). Then:
2= -1/10× (2) + b
2= -1/5+ b
2+ 1/5= b
11/5= b
Finally, the perpendicular line is y= -1/10x + 11/5.
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Find g(x), where g(x) is the translation 1 unit up of f(x)=x2.
Write your answer in the form a(x–h)2+k, where a, h, and k are integers.
g(x)=
The value of the translated function g(x) will be x²+1.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and the independent variable.
Given that the function is f(x) = x². The function g(x) in the form of a(x–h)²+k will be written as below,
The function is translated to the 1 unit up which means that the value of k will be equal to the positive 1.
The function is,
g(x) = a(x–h)²+k
g(x) = 1(x-0)² + 1
g(x) = x² + 1
Therefore, the value of the translated function g(x) will be x²+1.
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The ages of people visiting a senior center one afternoon are recorded in the line plot
Does the data contain an outlier? If so, explain its meaning in this situation.
A: No, there is no outlier. This means that the data was not collected correctly, as there would be lots of age ranges at the center.
B: No, there is no outlier. This means that the people at the center were all seniors around the same age.
C: Yes, there is an outlier of 85. This means that one person was age 85, which is 15 years older than the next closest age.
D: Yes, there is an outlier of 105. This means that someone at the center is 105 years old.
Answer:
b
Step-by-step explanation:
The correct option is (b) The data does not contain an outlier. This means that the people at the center were all seniors around the same age.
What is an Outlier in a Dataset?Outlier in a data set is simply the extremely low data point or an extremely high data point compared to other points in the dataset.
It will stand out from the other values in the dataset.
The line plot shows the ages of people visiting a senior center one afternoon.
The data points are,
70, 70, 70, 75, 75, 80, 80, 85, 90, 90, 95, 95, 95, 100.
If there is an outlier in the set, it would be extremely low or high compared to other points.
But there are no such points.
So there are no outliers.
This means that people visited at the center were all seniors around the same age.
Hence the correct option is (b).
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00
Which could be the base shape of the cylinder?
Oline
O non-square rectangle
O circle
O square
Answer:
The answer is a D. a circle
The base shape of the cylinder can only be a circle.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
A cylinder is a three-dimensional shape that has two congruent parallel circular bases connected by a curved surface.
The shape of the base determines the shape of the cylinder. If the base is circular, then the cylinder is called a circular cylinder.
A non-square rectangle and a square are not circular, and thus cannot be the base shape of a cylinder.
Hence, the base shape of the cylinder can only be a circle.
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How can I find the scale factor of the two similar triangles and how can I use similarity and scale factor to find the length?
Answer:
i think, x equal 12 and y equal 20
A 2-column table with 9 rows. The first column is labeled year with entries 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013. The second column is labeled precipitation with entries 5.98, 6.05, 7.59, 5.27, 3.11, 7.18, 2.95, 7.22, 2.61. The table shows the precipitation in December, in inches, for Washington state from 2005 to 2013. What was the mean amount of precipitation during this time? Round to the nearest hundredth. 1.97 inches 2.61 inches 5.33 inches 5.98 inches
Answer:
5.33 inches
Step-by-step explanation:
Mean is another term for average. Therefore, we add up all precipitation items from Column B and divide by the total number of items (9):
[tex]5.98+6.05+7.59+5.27+3.11+7.18+2.95+7.22+2.61=47.96[/tex]
[tex]47.96\div{9}\approx{5.33}[/tex]
WILL GIVE BRAINLIEST
You walk 10km North then turn and walk 5km East. What is your displacement from where you started? Show your work
Answer:
A hiker walks 10 km East, then 5 km in a direction 60 degrees North of West, then 8.7 km in a direction 30 degrees South of West. Find her resultant displacement.
Since you walk 10km North then turn and walk 5km East, your displacement from where you started is approximately 11.18 km.
How to determine the displacementFrom the information given, we have that you walked 10 km north (which represents the vertical side of the triangle) and 5 km east Using the Pythagorean theorem, the displacement (d) can be determined as;
[tex]d^2 = (10 km)^2 + (5 km)^2[/tex]
Find the square values, we get
d² = 100 km² + 25 km²
add the squares, we get
d² = 125 km²
Find the square root of both sides of the equation, we have;
d = 125km²
d = 11.18 km
Therefore, your displacement from where you started is approximately 11.18 km.
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Gayle Miller works 43 hours every week. Her weekly salary is $397.75. How much overtime does Gayle make each week?
Answer:
$9.25
Step-by-step explanation:
$397.75÷43=$9.25
Weekly salary divided by hours of work = hourly pay
What is the slope of this line?
O 3/2
O 2:3
0 −3/2
O I don't know.
Answer:
3/2
Step-by-step explanation:
the answer is 3/2 because you take the slope by using the equation y/x. I did this problem by starting prop the point (0,-6). I then counted for how many points I went up, how many did I go to the right or left. If it went to the right it’s positive, to the left it is negative. In this case it went to the right 2 times every time it went up 3. Meaning 3/2
Find the exact solutions of the given equation in the interval .
sin 4x= –2sin 2x
The exact solutions of the given equation in the interval are;
A: x = 0, π/2, π, ³/₂π
How to find the exact solutions of trigonometric equations?
We are given the equation as;
sin 4x = –2sin 2x
Writing the equation in standard form gives;
sin 4x + 2sin 2x = 0
Using trigonometric Identity, substitute (sin 4x) with (2sin 2x.cos 2x) to get;
2sin 2x cos 2x + 2sin 2x = 0
Factorize to get;
2sin 2x(cos 2x + 1) = 0
A. sin 2x = 0
The unit circle will give us 3 solutions for 2x as follows;
2x = 0
Thus; x = 0
2x = π
Thus; x = π/2
2x = 2π
Thus; x = π
B. cos 2x = - 1
The unit circle gives 2 solutions for 2x as;
2x = π
Thus; x = π/2
2x = 3π
Thus; x = ³/₂π
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Complete question is;
How do you find the exact solutions of the equation sin4x = −2sin2x in the interval [0, 2π)?
If the nth term of a number sequence n2-3 find the first 3 terms
Answer:
-1,-2,0
Step-by-step explanation:
n(2-3)
1st term=n(2-3)
substitute value
1(2-3)=-1
2nd term=2(2-3)=-2
3rd term=3(3-3)=0
0°F; drops 15° what’s the new temperature
The new temperature is given as -15°F.
What is a Measurement unit?A measurement unit is a unit to measure certain quantities.
For example, the mass can be measured in kilograms, length can be measured in meter and time can be measured in seconds.
To find the measurement of a new quantity known units can be used in operation. As to find the unit for speed we use m/s as a unit, where, m is the unit of distance and s is the unit of time.
Given that,
The present temperature is 0°F.
And, the drop in the temperature is 15°.
The new temperature after the drop can be found by subtracting the amount of drop from the initial temperature as follows,
0 - 15°F
= -15°F
Hence, the new temperature after the drop is -15°F.
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When Nathaniel moved into a new house, he planted two trees in his backyard. At the time of planting, Tree A was 38 inches tall and Tree B was 20 inches tall. Each year thereafter, Tree A grew by 6 inches per year and Tree B grew by 9 inches per year. Let AA represent the height of Tree A tt years after being planted and let BB represent the height of Tree B tt years after being planted. Write an equation for each situation, in terms of t,t, and determine the interval of time, t,t, when Tree A is taller than Tree B.
The equations of both trees are Tree A = 38 + 6t and Tree B = 20 + 9t and the growth interval of tree A is t < 6
The equations of the growth of both treesFrom the question, we have the following parameters that can be used in our computation:
Tree A
Initial height = 38 inchesRate = 6 inches each yearTree B
Initial height = 20 inchesRate = 9 inches each yearThe height after t years is
Tree = Initial height + rate * t
So, we have
Tree A = 38 + 6t
Tree B = 20 + 9t
The interval of timeRecall that
Tree A = 38 + 6t
Tree B = 20 + 9t
When Tree A is taller than Tree B, we have
38 + 6t > 20 + 9t
Evaluate the like terms
-3t > -18
Divide
t < 6
Hence, the interval is t < 6
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Simplify 2.54 + 1.5 × 4
Chris works at an electronics store. He earns $10 per hour plus 12.5% commission on his computer sales. Today, Chris worked 5.5 hours and sold $1100 in computers. How much did Chris earn in total today?
By solving a simple equation we can see that Chris earned $192.50.
How much did Chirs earn Today?
We know that Chris wins $10 per hour plus the 12.5% of the total amount he solds in computers.
So, if he works 5.5 hours and sold $1,100 in computers, the amount that he earns is given by the equation:
E = $10*5.5 + $1,100*( 12.5%/100%)
E = $10*5.5 + $1,100*(0.125) = $192.50
Then we conclude that Chris earned $192.50 today.
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A rectangle has a width (3x-2) and a length of (5x). The rectangle has the same perimeter as a square with a perimeter of 44 units.
Find the value of x.
Check the picture below.
Find the rate if a principal of $1,100 earned $1,089 interest in 12 years.
Answer:
8.25
Step-by-step explanation:
Randy is 8 years old. His brother is twice as old as randy. Randys sister is three years younger than randy. Write a expression to represent the age of randys brother
The expression that represents the age of randy's brother is
2x.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Randy age = 8 years old
Randy's brother age = 2 x 8 = 16
Randy's sister age = 8 - 3 = 5
The expression that represents the age of randy's brother.
Let the age of Randy = x.
= 2x
= 2x
= 2 x 8
= 16 years old.
Thus,
The expression that represents the age of randy's brother is
2x.
Where x is the age of Randy.
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Population: The Henry family has 5 children: Abby (age 15), Brian (age 10), Colin (age 9), Deena (age 7), and
Elise (age 5).
Sample
n = 2
Ages
Sample
range
A, B
15, 10
5
A, C
15,9
6
A, D
15,7
8
Α, Ε
15, 5
10
B, C
10,9
1
B, D B, E
00000000
10,7
3
10, 5
The last sample range in this table is missing. What is the missing value? 2
C, D
9,7
5 2
C, E
9,5
4
D, E
7,5
The last sample range in this table is missing,the missing value is 2.
Given:
The Henry family has 5 children: Abby (age 15), Brian (age 10), Colin (age 9), Deena (age 7), and Elise (age 5).
Sample(n = 2) A, B A, C A, D Α, Ε B, C ........ D,E
Ages 15, 10 15,9 15,7 15, 5 10,9 ....... 7,5
Sample range 5 6 8 10 1 ...........
Let x be the sample range missing.
sample range = ages difference
= Age of D - Age of E
= 7 - 5
= 2
Therefore The last sample range in this table is missing,the missing value is 2.
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Answer:
answer is 2 i did it and got it right
Step-by-step explanation:
Determine whether the percent of change is a percent of increase or a
percent of decrease. Then find the percent of change.
%
original: 20
new: 18
by
Answer:
the change is in %age of decrease of 10%
Step-by-step explanation:
original value = 20
new value = 18
decrease = 2
%age decrease = decrease/original value * 100
= 2/20 * 100
= 10%
Completely factor the expression -4/5yn6 - 5/6y4n8
Answer:
See below
Step-by-step explanation:
You can pull one y and 6 n's out to start
then 4/5 = 24/30 and 5 / 6 = 25/30
and you can factor out a -1
- y n^6 /30 ( 24 + 25 y^3n^2 )
The animals at a safari park include camels,
kangaroos and meerkats.
There are 12 more kangaroos than there are
camels.
There are 3 times as many meerkats as there
are camels.
There are the same number of kangaroos as
there are meerkats.
How many camels are there at the safari park?
brainliest points whatever you want please
Annual rate of return earned when the share was sold at $50 per share is 20%
Annual rate of return earned when the share was sold at $60 per share is 40%
How to calculate annual rate of returnAnnual rate of return is given by the formula
let end of the year price = eyp
let beginning of the year price = byp
= {(eyp - byp) / byp} * 100
Annual rate of return at share price of $50 per share
when there is paying of dividends the value is added to the the eyp
eyp = 50 * 100 + 2 * 100 * 5 = 6000
byp = 50 * 100 = 5000
= {(6000 - 5000) / 5000} * 100
= 20%
Annual rate of return at share price of $60 per share
eyp = 60 * 100 + 2 * 100 * 5 = 7000
byp = 50 * 100 = 5000
= {(7000 - 5000) / 5000} * 100
= 40%
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